Kym’s sawhorse is 39 inches tall, 27 inches long, and 19 inches wide. Its diagonal measurement, or the hypotenuse, is 40.14 inches. What is its total surface area? Round your answer to the nearest hundredth..

Answer 1

To find the total surface area of the sawhorse, we need to calculate the areas of all the individual surfaces and then add them together.

The top surface area is length times width: 27 inches x 19 inches = 513 square inches
There are two of these surfaces, so the total top surface area is 513 square inches x 2 = 1026 square inches

The side surface area is height times length: 39 inches x 27 inches = 1053 square inches
There are four of these surfaces (since there are four sides to a rectangular prism), so the total side surface area is 1053 square inches x 4 = 4212 square inches

Now we need to calculate the surface area of the bottom of the sawhorse, but since it has the same dimensions as the top, it will also be 1026 square inches.

Therefore, the total surface area of Kym's sawhorse is 1026 + 1026 + 4212 = 6264 square inches

Rounded to the nearest hundredth, the total surface area is 6264 square inches.